If in (y=(a+3)x+a), the difference between slope and (y)-intercept is (3), which statement is correct?
Answer and explanation
Correct answer: It is true for every a
In the form y=mx+c, the slope is the coefficient of x, m, and the y-intercept is the constant term, c. Here, the slope is a+3 and the y-intercept is a. Therefore, their difference is (a+3)-a=3, which remains true for every value of a. Although a=3 and a=0 also give a difference of 3, the statement is not restricted to those values. Exam tip: In y=mx+c, first identify the coefficient of x and then the constant term.
Frequently asked questions
What is the correct answer to this question?
It is true for every a
Why is this the correct answer?
In the form y=mx+c, the slope is the coefficient of x, m, and the y-intercept is the constant term, c. Here, the slope is a+3 and the y-intercept is a. Therefore, their difference is (a+3)-a=3, which remains true for every value of a. Although a=3 and a=0 also give a difference of 3, the statement is not restricted to those values. Exam tip: In y=mx+c, first identify the coefficient of x and then the constant term.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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